Thang Pham

activity

20242026

collaborators

5 papers

math.CO2026

Congruence Classes in $F_{p}^{2}$ : Sharp Results via an Energy Approach

Thang Pham, Le Quang Ham, Steven Senger +2

Let $T_{k} (E)$ denote the set of congruence classes of ordered $k$ -tuples of pairwise distinct points of $E$ . Let $p \equiv 3 (mod 4)$ be prime. For $E \subset F_{p}^{2}$ with $3\leq|…

math.CA2025

Entropy Expansion for General Polynomial Images of Frostman Random Variables

Alex Iosevich, Thang Pham, Nguyen Dac Quan +2

We prove dyadic entropy expansion for the observables $X + Y$ and $f (X, Y)$ under Frostman nonconcentration hypotheses on a prescribed, possibly dependent law. For an integer $n \geq 1$ ,…

math.CO2024

Packing sets under finite groups via algebraic incidence structures

Norbert Hegyvári, Le Quang Hung, Alex Iosevich +1

Let $G$ be a finite group acting on a vector space $V = F_{p}^{n}$ over a prime field. Given finite sets $S \subset G$ and $E \subset V$ , we study the restricted orbit union $…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

math.NT2024

On the solvability of systems of equations revisited

Thang Pham, Steven Senger, Nguyen Trung-Tuan +2

In this paper, we introduce a new and direct approach to study the solvability of systems of equations generated by bilinear forms. More precisely, let $B (\cdot, \cdot)$ be a non-…

Congruence Classes in Fp2​: Sharp Results via an Energy Approach

Entropy Expansion for General Polynomial Images of Frostman Random Variables

Packing sets under finite groups via algebraic incidence structures

Packing sets in Euclidean space by affine transformations

On the solvability of systems of equations revisited

Congruence Classes in $F_{p}^{2}$ : Sharp Results via an Energy Approach